4004004440411 has 2 divisors, whose sum is σ = 4004004440412. Its totient is φ = 4004004440410.

The previous prime is 4004004440383. The next prime is 4004004440459. The reversal of 4004004440411 is 1140444004004.

4004004440411 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 4004004440411 - 2¹⁰ = 4004004439387 is a prime.

It is not a weakly prime, because it can be changed into another prime (4004004440011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002002220205 + 2002002220206.

It is an arithmetic number, because the mean of its divisors is an integer number (2002002220206).

Almost surely, 2^{4004004440411} is an apocalyptic number.

4004004440411 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004004440411 is an equidigital number, since it uses as much as digits as its factorization.

4004004440411 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 4004004440411 its reverse (1140444004004), we get a palindrome (5144448444415).

The spelling of 4004004440411 in words is "four trillion, four billion, four million, four hundred forty thousand, four hundred eleven".